122113213313112 has 96 divisors (see below), whose sum is σ = 379374561165600. Its totient is φ = 34759788774912.

The previous prime is 122113213313089. The next prime is 122113213313129. The reversal of 122113213313112 is 211313312311221.

122113213313112 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 321 + 331 + 3 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×122113213313112² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 450214093 + ... + 450485244.

It is an arithmetic number, because the mean of its divisors is an integer number (3951818345475).

Almost surely, 2^{122113213313112} is an apocalyptic number.

122113213313112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122113213313112 is an abundant number, since it is smaller than the sum of its proper divisors (257261347852488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122113213313112 is a wasteful number, since it uses less digits than its factorization.

122113213313112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900699625 (or 900699618 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 122113213313112 its reverse (211313312311221), we get a palindrome (333426525624333).

The spelling of 122113213313112 in words is "one hundred twenty-two trillion, one hundred thirteen billion, two hundred thirteen million, three hundred thirteen thousand, one hundred twelve".